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Finding the Fourth Proportional to 3,129.84, 4,697.46 and 1,485.54

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Solution

The fourth proportional to 3,129.84, 4,697.46 and 1,485.54 is: 2,229.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.84 : 4,697.46 = 1,485.54 : x
  2. Step 2: Convert to fraction form
    3,129.84/4,697.46 = 1,485.54/x
  3. Step 3: Cross multiply
    3,129.84x = 4,697.46 × 1,485.54
  4. Step 4: Simplify right side
    3,129.84x = 6,978,264.73
  5. Step 5: Solve for x
    x = 6,978,264.73/3,129.84
  6. Step 6: Final answer
    x = 2,229.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.